Table 1: Energy of collapsed and circular (n,n) tubes(relative to graphite)

(n,n)	Atoms	R(å)	Ecircular	Ecollapsed	(n,n)	Atoms	R(å)	Ecircular	Ecollapsed
10	40	6.73	2.5418		50	200	33.66	1.3793	1.3251
11	44	7.41	2.3366		60	240	40.39	1.3641	1.2353
12	48	8.08	2.1790		70	280	47.13	1.3550	1.1715
13	52	8.75	2.0556		80	320	53.86	1.3490	1.1232
14	56	9.43	1.9571		90	360	60.59	1.3450	1.0858
15	60	10.10	1.8773		100	400	67.32	1.3420	1.0559
16	64	10.77	1.8117		110	440	74.05	1.3399	1.0313
17	68	11.44	1.7572	2.4340	120	480	80.79	1.3383	1.0109
18	72	12.12	1.7115	2.3293	130	520	87.52	1.3372	0.9939
19	76	12.79	1.6726	2.2369	140	560	94.25	1.3361	0.9791
20	80	13.46	1.6394	2.1553	150	600	100.98	1.3354	0.9659
30	120	20.20	1.4678	1.6847	160	640	107.72	1.3348	0.9552
40	160	26.93	1.4074	1.4600	170	680	114.45	1.3341	0.9452
41	164	27.60	1.4036	1.4435	180	720	121.18	1.3337	0.9362
42	168	28.28	1.4002	1.4278	190	760	127.91	1.3332	0.9284
43	172	28.95	1.3969	1.4128	200	800	134.65	1.3326	0.9211
44	176	29.62	1.3939	1.3987	210	840	141.38	1.3324	0.9146
45	180	30.30	1.3910	1.3849	220	880	148.11	1.3321	0.9088
46	184	30.97	1.3884	1.3720	230	920	154.84	1.3318	0.9035
47	188	31.64	1.3859	1.3594	240	960	161.57	1.3318	0.8984
48	192	32.31	1.3836	1.3476	250	1000	168.31	1.3317	0.8943
49	196	32.99	1.3814	1.3361

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Table 2: Energy of collapsed and circular (n,0) tubes(relative to graphite)

(n,0)	Atoms	R(å)	Ecircular	Ecollapsed	(n,0)	Atoms	R(å)	Ecircular	Ecollapsed
10	40	3.89	4.7507		77	308	29.93	1.3926	1.3968
20	80	7.77	2.2446		78	312	30.32	1.3910	1.3898
21	84	8.16	2.1614		79	316	30.71	1.3894	1.3816
22	88	8.55	2.0890		80	320	31.09	1.3879	1.3743
23	92	8.94	2.0255		90	360	34.98	1.3757	1.3098
24	96	9.33	1.9697		100	400	38.87	1.3669	1.2586
25	100	9.72	1.9203		110	440	42.76	1.3604	1.2163
26	104	10.11	1.8763		120	480	46.64	1.3555	1.1818
27	108	10.49	1.8371		130	520	50.53	1.3516	1.1517
28	112	10.88	1.8019	2.5316	140	560	54.42	1.3486	1.1262
29	116	11.27	1.7702	2.4623	150	600	58.30	1.3461	1.1042
30	120	11.66	1.7416	2.3980	160	640	62.19	1.3441	1.0850
40	160	15.55	1.5623	1.9563	170	680	66.08	1.3424	1.0683
50	200	19.43	1.4788	1.7217	180	720	69.96	1.3410	1.0532
60	240	23.32	1.4333	1.5672	190	760	73.85	1.3398	1.0392
70	280	27.21	1.4058	1.4567	200	800	77.74	1.3388	1.0270
71	284	27.60	1.4037	1.4476	210	840	81.62	1.3380	1.0160
72	288	27.99	1.4016	1.4384	220	880	85.51	1.3372	1.0062
73	292	28.37	1.3997	1.4298	230	920	89.40	1.3366	0.9971
74	296	28.76	1.3978	1.4213	240	960	93.28	1.3360	0.9884
75	300	29.15	1.3960	1.4129	250	1000	97.17	1.3355	0.9808
76	304	29.54	1.3942	1.4047

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Table 3: Energy of collapsed and circular (2n,n) tubes

(2n,n)	Atoms	R(å)	Ecircular	Ecollapsed
5	140	5.14	3.3639
10	280	10.28	1.8579
11	308	11.31	1.7672	2.4559
12	336	12.34	1.6979	2.2969
13	364	13.37	1.6438	2.1660
14	392	14.40	1.6008	2.0572
15	420	15.43	1.5660	1.9660
20	560	20.57	1.4629	1.6690
25	700	25.71	1.4149	1.4938
26	728	26.74	1.4085	1.4664
27	756	27.77	1.4028	1.4415
28	784	28.79	1.3976	1.4182
29	812	29.82	1.3930	1.3961
30	840	30.85	1.3888	1.3757
35	980	35.99	1.3731	1.2917